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Finding the Third Proportional to 80.81 and 117.42

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Solution

The third proportional to 80.81 and 117.42 is: 170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.81 : 117.42 = 117.42 : x
  2. Step 2: Convert to fraction form
    80.81/117.42 = 117.42/x
  3. Step 3: Cross multiply
    80.81x = 117.42 × 117.42
  4. Step 4: Simplify right side
    80.81x = 13,787.90
  5. Step 5: Solve for x
    x = 13,787.90/80.81
  6. Step 6: Final answer
    x = 170.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.